Y = 5x + 4
Gradient = slope = 5
(0,4) = y - intercept
Answer: 51.86 and 23.14
Step-by-step explanation:
The rectangular garden must have a perimeter of 150 feet
Perimeter of rectangular garden =
2l + 2w=150 -----------1
The rectangular garden must have a perimeter of 150 feet and an area of at least 1200 square feet.
Area of rectangular garden =
l×w= 1200 feet^2 -----------2
From equation 2, l=1200/w
Put l=1200/w in equation 1
2× 1200/w + 2w = 150
(2400/w) +2w = 150
(2400+2w^2)/w =150
2400+2w^2= 150w
2w^2- 150w+2400=0
Using the general formula
w = [-b+-√(b^2-4ac)]/2a
a = 2, b =-150, c=2400
w =[--150+/-√(-150^2-4×2×2400)]/2×2
=[150+/-√(22500-19200)]/4
=[150+/-√3300)]/4
=(150+57.45)/4 or (150-57.45)/4
w= 207.45/4 or 92.55/4
w= 51.86 or w= 23.14
l = 1200/51.86 or l= 1200/23.14
l = 23.14. or l= 51.86
For an area of at least 1200ft^2
The dimensions are 51.86 and 23.14
Answer:
the image is sideways
Step-by-step explanation:
First, you have to do some factorization
60 = {1,2,3,4,5,6,10,12,15,20,30,60}
72 = {1,2,3,4,6,8,9,12,18,24,36,72}
the GCF is 12
now we find the number that you multiply by 12 to get 60 and another number to get 72.
12 x 5 = 60
12 x 6 = 72
now we notice if you add 60 + 72, we can now tell that it also equals (12)(5)+(12)(6)= 12(5+6)
Answer:
b is the answer in your questions